A population of 470 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. P(t) = 470(5 + 4t 49 +² Find P'(t). P'(t) = bacteria/hour Find the rate at which the population is growing when t = 4. (Round your answer to two decimal places.) P'(4) = bacteria/hour

Q: rs are moving towards an intersection. One car is 160 meters north of the intersection an s the…

A: Please refer to the image below

Q: olve the equation for exact solutions in the interval [0°, 360°). Use an algebraic method. (cote 1…

A: We have to find solution

Q: y y = f(x) 8

A:

Q: Find the divergence of the vector field. F(x, y, z)= 7x¹i, 7xy7j O divF(x, y, z) = 7x³¡— Ţxy³j…

A:

Q: 52. Use the right triangle shown in the figure. Then, using the given information, solve the…

A:

Q: 4n Determine whether Σ: 5n+1 is convergent or divergent.

A:

Q: (27) Suppose that f is a continuous function on [-a, aj. If f is even on [-a.a] then fa f(x) dx = ●…

A: Topic = Integration

Q: Write a function in degree mode and a function in radian mode to model the grap h(t)= h(t)=

A: Given: the graph is given to you in the question we have to find the function in degree mode and…

Q: Determine the value of each of the constants, A, B & C 4x²23x + 21 S x² - 4x + 3 Option 1: Option 2:…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: sec²x - 1 sec²x 0-1 sinx

A: We will solve.

Q: A population P, is increasing proportional to (400 - P), and P never gets larger than 400. At t = 0…

A: Solved below

Q: 14. 15. II. lim g(x) does not exist. I. lim g(x) = -0. II. lim g(x) = 4. I. g(1) = 4. II. lim g(x)…

A:

Q: If the number of sales is inversely proportional to the price of a product, write the differential…

A:

Q: ind the zeros and determine the multiplicity f(x) = (2x + 1)3 (9x2 – 6x + 1)

A: In general, given the function, f(x), its zeros can be found by setting the function to zero. The…

Q: Find an equation of the tangent plane to the surface at the give h(x, y) = In √x² + y², (12, 16, In…

A: we have to find tangent plane

Q: Determine any planes that are parallel or identical. (Select all that apply.) P.: -120x + 30y + 90z…

A:

Q: Write the product as a sum: 16 cos (34c) sin(13c) = > Next Question

A:

Q: Given the DE. 3dy + ydx = (1-2x)y4, Rewrite the DE into Linear Form at v O dx-v = 2x+1 dx-v=2x-1…

A:

Q: 4. 5. 6. I. lim f(x) does not exist. 2-3 II. f has a removable discontinuity at x = -3. I. f has a…

A: We need to determine discontinuity.

Q: 8. THE ANSWER PROVIDED IS DOESN'T MAKE SENSE. HOW DOES 21+7 = 38? PLEASE PROVIDE CORRECT ANSWER…

A:

Q: Problem 4.5 Let f(x)=x² - 2x² +3. (a) Find the intervals on which f is increasing or decreasing. (b)…

A: For the given function we need find out the intervals on which the function is increasing or…

Q: Find the zeros of f(x) = 3x^3 + 9x^2 + x + 3

A:

Q: (1) Theorem: The area A of the region bounded by the curves y = f(x), y = g(x), and the lines x = a,…

A:

Q: Part 5 of 6 Substituting the above into the integral, we have 2 cos 15 = 26" / ² (04 0 J[ R(x, y, z)…

A:

Q: The percentage of employees who cease their employment during a year is referred to as employee…

A:

Q: 6. next question Two functions are shown. y = f(z) is the function on the left and y=af[b(z-c)] +d…

A:

Q: B. Determine the general solution for each given higher order differential equation. Write your…

A:

Q: In 2008, 25 million teenagers owned a cell phone. In 2009, 28 million teenagers owned one. Assuming…

A:

Q: If the rate of change of Q is directly proportional to Q, and if Q(0) = 100 and Q(4) = 440, find k,…

A:

Q: 11. 12. 13. 14. 15. 16. 17. 18. For items 11-25 consider g(x) as defined below. I. lim g(x) does not…

A:

Q: Find the definite integral of ₁3 T Option 1: 4 Option 2: Option 3: Option 4: 4 2 I 6 π 3 6…

A:

Q: Use integration by parts to solve. Simplify final answer and write in factored form. 2 (x)ln(cos(x))…

A:

Q: K Use properties of power series, substitution, and factoring of constants to find the first four…

A:

Q: A region bounded by f(x) = x, y = 1, and x = 4 is shown below. Find the volume of the solid formed…

A:

Q: Find an explicit solution of the given initial-value problem. dx = = 6(x² +1), x(1) = = 1 dt x = tan…

A:

Q: 7. 8. I. lim f(x) = -0. 8118 II. lim f(x) = ∞0. 818 I. f is continuous at x = 2. II. f is continuous…

A:

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = —, (1, 8, 8) X 10…

A: Explanation of the answer is as follows

Q: Find the percentage rate of change of f at the given value of x. 3/2 1(x) = (1 + ² + 3 + 2 + 3x + 14…

A:

Q: Evaluate the following integrals JJ (5. (5x³y²-y²) dA_R = {(x, y)| 0 ≤ x ≤ 2, 1 ≤ y ≤ 4} R 11.

A: Solve the following

Q: 20. Which of the following is always true about the graph of f(x) on (-1,2)? (A) f(x) has an…

A:

Q: 6. ormation to answer the next question Two functions are shown. y = f(z) is the function on the…

A:

Q: The cost of a certain piece of machinery is $700 and its value is depreciating with time according…

A:

Q: a) fo f(x) dx d) f3f(x) dx b) √²³ƒf(x)dx c) ff(x) dx e) fºƒ(x)dx − [f(−ƒ(x))dx + f² ƒ(x)dx]

A: Note:- according to the company policy we can attempt maximum three subparts of a question so please…

Q: 4. Evaluate the integral 1 tanz+ tana+ x 2(x² + 1) + C 2(x²+1) x da 24 +22² +1 (d) tan-¹+ +C (e)…

A: To evaluate: I=∫dx(x4+2x2+1)=∫1(x2+1)2dx

Q: Use integration by parts to evaluate the integral sin(10x)/e^2x dx

A:

Q: Find the arc length of f(x) = (1+2²) from x = 0 to x = 2. Simplify your

A: Given :fx=231+x232x from 0 to 2

Q: cote √3)2sin0 + √2) = 0 - The solution set is {60°, 240, 225°, 315°} (30°, 210, 225°, 315°} O{45°,…

A:

Q: Convert the equation r cos=-4 sin (29) to Cartesian coordinates. Describe the resulting curves.…

A:

Q: biloa Hey For the following problems, find the specified area or vc 17. The area of region enclosed…

A: Topic:- application of integration